[Verse 1]
In the cortex where the columns stand like towers
Two-phase cycles mark the processing hours
Bottom-up signals climb through neural layers
While theta rhythms synchronize the players
First phase captures what the senses bring
Pure feedforward in an ascending ring
[Chorus]
Hebbian contrast, pre and post align
No error signals down a special line
Just local learning where the neurons meet
Two-phase processing makes the cycle complete
Oscillations guide the computational dance
Bottom-up and top-down in neural romance
[Verse 2]
Second phase awakens feedback streams
Top-down predictions merge with sensory themes
Contrastive learning weighs what should have been
Against the patterns flowing from within
Synaptic strength adjusts to bridge the gap
Neural plasticity in nature's map
[Chorus]
Hebbian contrast, pre and post align
No error signals down a special line
Just local learning where the neurons meet
Two-phase processing makes the cycle complete
Oscillations guide the computational dance
Bottom-up and top-down in neural romance
[Bridge]
Theta waves like metronomes of thought
Parceling time for lessons to be taught
Each column computes its distributed share
Biological plausibility everywhere
No backprop needed, no gradient descent
Just coincidence detection, naturally bent
[Verse 3]
Distributed units across the cortical sheet
Each oscillation makes the learning complete
From sensation raw to cognition refined
Two-phase cycles shape the thinking mind
Mathematical beauty in biological form
Cortical columns riding rhythm's storm
[Verse 4]
When the phases lock in perfect harmony
Error correction flows so naturally
Calcium spikes mark the learning moment's birth
While inhibition cycles through rebirth
Each neuron knows just when to fire and when
To listen for the feedback once again
[Chorus]
Hebbian contrast, pre and post align
No error signals down a special line
Just local learning where the neurons meet
Two-phase processing makes the cycle complete
Oscillations guide the computational dance
Bottom-up and top-down in neural romance
[Outro]
In the mathematics of the brain's design
Two phases pulse in computational time
Neural columns standing in formation
Processing the world through oscillation
The rhythm of learning, ancient and true
Cortical circuits computing me and you